Superanalysis on quantum spaces
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولMetric on Quantum Spaces
We introduce the analogue of the metric tensor in case of q-deformed differential calculus. We analyse the consequences of the existence of the metric, showing that this enforces severe restrictions on the parameters of the theory. We discuss in detail the examples of the Manin plane and the q-deformation of SU(2). Finally we touch the topic of relations with the Connes’ approach. Partially sup...
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We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles quantum differential coming from the 3-D calculus of Woronowicz on SUq(2) . The construction is presented within the setting of a general theory of quantum principal bundles with quantum group (Hopf algebra) fiber, associated quantum vector...
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We deal with quantum spaces of particular importance in physics, i.e., q-deformed Minkowski space and q-deformed Euclidean space in three and four dimensions. For all these cases representations of their covariant differential calculi have been worked out. The explicit formulae refer to left representations, as right representations can be easily deduced from left ones. We are going to show for...
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An algebraic formulation of Riemannian geometry on quantum spaces is presented, where Riemannian metric, distance, Laplacian, connection, and curvature have their counterparts. This description is also extended ∗email address: [email protected] to complex manifolds. Examples include the quantum sphere, the complex quantum projective spaces and the two-sheeted space.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2006
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2006/01/084